450423600 has 120 divisors (see below), whose sum is σ = 1574071872. Its totient is φ = 109190400.

The previous prime is 450423587. The next prime is 450423637. The reversal of 450423600 is 6324054.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3862 + ... + 30261.

Almost surely, 2^450423600 is an apocalyptic number.

450423600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450423600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787035936).

450423600 is an abundant number, since it is smaller than the sum of its proper divisors (1123648272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450423600 is a wasteful number, since it uses less digits than its factorization.

450423600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34155 (or 34144 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 450423600 is about 21223.1854348022. The cubic root of 450423600 is about 766.5498078556.

Adding to 450423600 its reverse (6324054), we get a palindrome (456747654).

The spelling of 450423600 in words is "four hundred fifty million, four hundred twenty-three thousand, six hundred".